Coefficients of singularities and mixed methods for the mixed Dirichlet-Neumann problem for the Stokes operator on a polygon

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Abstract

The behaviour of the weak solution of the Stokes problem on a polygon is considered with emphasis on the maximal regularity of the solution and on global formulae for the coefficients of singularities. This regularity leads to a slow convergent mixed finite-element method of fractional order less than one, while the use of the above formulae provides better approximations for the solution and for the coefficients. © 1991.

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Chettab, M., & Lubuma, M. S. (1991). Coefficients of singularities and mixed methods for the mixed Dirichlet-Neumann problem for the Stokes operator on a polygon. Journal of Computational and Applied Mathematics, 35(1–3), 139–157. https://doi.org/10.1016/0377-0427(91)90203-V

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